Find the product. Simplify your answer. (3x - 3)(2x - 4) ______

Distribute terms: Distribute (2x - 4) with both 3x and -3. (3x - 3)(2x - 4) = 3x(2x - 4) - 3(2x - 4)Simplify 3x(2x - 4): Simplify 3x(2x - 4). 3x(2x - 4) = 3x * 2x - 3x * 4 = 6x^2 - 12xSimplify -3(2x - 4): Simplify -3(2x - 4). -3(2x - 4) = -3 * 2x + -3 * -4 = -6x + 12Combine simplified forms: Combine the simplified forms of 3x(2x - 4) and -3(2x - 4). (3x - 3)(2x - 4) = 6x^2 - 12x - 6x + 12Combine like terms: Combine like terms. 6x^2 - 12x - 6x + 12 = 6x^2 - 18x + 12

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Find the product. Simplify your answer. $\newline$ $(3x - 3)(2x - 4)$

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Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(3x - 3)(2x - 4)

Distribute terms: Distribute $(2x - 4)$ with both $3x$ and $-3$ . $(3x - 3)(2x - 4) = 3x(2x - 4) - 3(2x - 4)$
Simplify $3x(2x - 4)$ : Simplify $3x(2x - 4)$ . $3x(2x - 4) = 3x \times 2x - 3x \times 4 = 6x^2 - 12x$
Simplify $-3(2x - 4)$ : Simplify $-3(2x - 4)$ . $\newline$ $-3(2x - 4) = -3 \times 2x + -3 \times -4$ $\newline$ $= -6x + 12$
Combine simplified forms: Combine the simplified forms of $3x(2x - 4)$ and $-3(2x - 4)$ .
$(3x - 3)(2x - 4) = 6x^2 - 12x - 6x + 12$
Combine like terms: Combine like terms. $\newline$ $6x^2 - 12x - 6x + 12 = 6x^2 - 18x + 12$